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Finding the Fourth Proportional to 553,306.80, 829,960.20 and 541,642.80

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Solution

The fourth proportional to 553,306.80, 829,960.20 and 541,642.80 is: 812,464.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,306.80 : 829,960.20 = 541,642.80 : x
  2. Step 2: Convert to fraction form
    553,306.80/829,960.20 = 541,642.80/x
  3. Step 3: Cross multiply
    553,306.80x = 829,960.20 × 541,642.80
  4. Step 4: Simplify right side
    553,306.80x = 449,541,966,616.56
  5. Step 5: Solve for x
    x = 449,541,966,616.56/553,306.80
  6. Step 6: Final answer
    x = 812,464.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.